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Finding the Fourth Proportional to 39,782.60, 59,670.76 and 23,132

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Solution

The fourth proportional to 39,782.60, 59,670.76 and 23,132 is: 34,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.60 : 59,670.76 = 23,132 : x
  2. Step 2: Convert to fraction form
    39,782.60/59,670.76 = 23,132/x
  3. Step 3: Cross multiply
    39,782.60x = 59,670.76 × 23,132
  4. Step 4: Simplify right side
    39,782.60x = 1,380,304,020.32
  5. Step 5: Solve for x
    x = 1,380,304,020.32/39,782.60
  6. Step 6: Final answer
    x = 34,696.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.